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Finding the Fourth Proportional to 307,135.68, 459,608.64 and 212,385.12

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Solution

The fourth proportional to 307,135.68, 459,608.64 and 212,385.12 is: 317,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,135.68 : 459,608.64 = 212,385.12 : x
  2. Step 2: Convert to fraction form
    307,135.68/459,608.64 = 212,385.12/x
  3. Step 3: Cross multiply
    307,135.68x = 459,608.64 × 212,385.12
  4. Step 4: Simplify right side
    307,135.68x = 97,614,036,159.44
  5. Step 5: Solve for x
    x = 97,614,036,159.44/307,135.68
  6. Step 6: Final answer
    x = 317,820.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.